At a factory, light bulbs are packed in boxes that are then placed in a shipping container.
• Each box is in the shape of a cube.
• Each box has an edge length of foot.
• A shipping container has dimensions of feet by 1 foot by 2 feet.
What is the total number of boxes of light bulbs that the shipping container can hold when completely full?

A square is also a rectangle because it possesses all the properties of a rectangle. Similar to a rectangle, a square has: interior angles which measure 90° each, opposite sides that are parallel and equal, and many more attributes as well. Keep in mind however that a square is a special type of rectangle because it posseses some additional properties which don't apply to normal rectangles like the fact that all four sides of a square are equal, and diagonals of a square bisect each other at right angles.

I hope this helps! <3

Answer:

Step-by-step expl

A square is also a rectangle because it possesses all the properties of a rectangle. Similar to a rectangle, a square has: interior angles which measure 90° each, opposite sides that are parallel and equal, and many more attributes as well. Keep in mind however that a square is a special type of rectangle because it posseses some additional properties which don't apply to normal rectangles like the fact that all four sides of a square are equal, and diagonals of a square bisect each other at right angles.

Answer:

Step-by-step explanation:

X-intercepts mean y=0 so we have

y = x³ - 9x² + 18x = 0

Factoring

x³ - 9x² + 18x = 0

x*(x² - 9x +18) = 0

x*(x-3)*(x-6) = 0

So x-intercepts are at x=0, x=3 and x=6

Answer:

Step-by-step explanation:

see plot, intercepts at 0, 3, 6

Step-by-step explanation:

This system of election result forecast is called a non-representative poll with a high percent margin of error. and used as an alternative to an expensive and tedious representative poll system.

Non-representative polls can be used to produce accurate electoral predictions and may frequently be done faster and cheaper than typical survey procedures.

Not just for the election forecasts, but also for public opinion on a wide variety of social, economic, and cultural topics, non-representative polling appears promising.

9514 1404 393

Answer:

  $851.44

Step-by-step explanation:

The balance is given by the formula ...

  A = Pe^(rt) . . . . principal P, interest rate r, t years

Using the given numbers, we find the balance to be ...

  A = $600·e^(0.07·5) ≈ $851.44

Answer:

[tex]s = - \frac{1}{4} [/tex]

Step-by-step explanation:

For m to be equal to n,

[tex]2s = \frac{2s- 1}{3} [/tex]

Multiply both sides by 3:

[tex]6s = 2s - 1[/tex]

Minus 2s on both sides:

[tex]4s = - 1[/tex]

Divide by 4 on both sides:

[tex]s = - \frac{1}{4} [/tex]

Answer:

A rectangle I think

Answer:

8.4 whic e querido representante the parábola 8.3

Answer:

B) ABD=CDB

Step-by-step explanation:

Answer:

9 cm.

Step-by-step explanation:

Volume of a cylinder == pi r^2 h.

The volume of the water is constant so:

pi * 3^2 * 49 = pi * 7^2 h

9 *49 = 49 h

h = 9 cm.

Answer:

Rule by a small group : Oligarchy

Rule by Citizens : Democracy

Rule by No one Anarchy

Rule by king or Queen : Monarchy

Answer:

The bird will be at a ground distance of 10.04 units away.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Equation for the height:

The height of the bird after x seconds is given by:

[tex]h(x) = -0.114x^2 + 2.29x + 3.5[/tex]

Which is a quadratic equation with [tex]a = -0.114, b = 2.29, c = 3.5[/tex].

When the bird is at its highest?

Quadratic equation with [tex]a < 0[/tex], and thus, at the vertex. The ground distance is the x-value of the vertex. Thus

[tex]x_{v} = -\frac{b}{2a} = -\frac{2.29}{2(-0.114)} = 10.04[/tex]

The bird will be at a ground distance of 10.04 units away.

Answer:

Step-by-step explanation:

Wat

Answer:

The appropriate hypothesis set for Andraya to test is:

[tex]H_0: p = 0.125[/tex]

[tex]H_1: p < 0.125[/tex]

Step-by-step explanation:

The makers of the game claim that the wheel has an equally likely probability of landing on each section.

That is, the makers claim that the probability of earning the grand prize is:

[tex]p = \frac{1}{8} = 0.125[/tex]

Andraya has played the game for several months and believes that the grand prize occurs less often than the game makers claim.

At the null hypothesis, we test if it happens as often as the makers claim, that is, the proportion is 0.125. So

[tex]H_0: p = 0.125[/tex]

At the alternate hypothesis, we test if it happens less ofter than the makers claim, that is, the proportion is less than 0.125. So

[tex]H_1: p < 0.125[/tex]

The appropriate hypothesis set for Andraya to test is:

[tex]H_0: p = 0.125[/tex]

[tex]H_1: p < 0.125[/tex]

Answer:

[tex]\large\colorbox{gold}{sǫᴜᴀʀᴇ ᴘʏʀᴀᴍɪᴅ}[/tex]

Answer: A/The LINE graph

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The expression for the polynomial is A = 3x² - 10x + 8

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

A = ( 5x² + 13x - 4 ) - ( 17x² + 7x - 19 ) + ( 5x - 7 ) ( 3x + 1 ) = ax² - bx + c

Let's simplify the left-hand side of the equation using the distributive property and combining like terms:

A = (5x² + 13x - 4) - (17x² + 7x - 19) + (5x - 7)(3x + 1)

A = 5x² + 13x - 4 - 17x² - 7x + 19 + 15x² - 16x - 7

A = 3x² - 10x + 8

Now we have:

a = 3, b = -10, and c = 8

Hence , the final equation is A = 3x² - 10x + 8

To learn more about polynomials click :

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Answer:

y=5/2x+1

Step-by-step explanation:

y=mx+b

where m=slope and b=y-intercept

so

y=5/2x+1

Answer:

number 4 is 244   number 5 is 43

Step-by-step explanation:

order of operations is key here

4:6 to the power of 3 is first

216+7*4

now do 7*4

216+28

now simplify

244

5: this one is a little bit more tricky

do the stuff inside the parentheses first

4^2+1=17

3(17)-2^3

exponent next

3(17)-8

multiply next

51-8

43 is your answer

there you go

Answer: Choice D)

Determine the percentage of values occurring above and below that value

==========================================================

Explanation:

Let's go through the answer choices

Answer:

D

Step-by-step explanation:

Answer:

Translation rule → (x + 10, y + 1)

Scale factor = 4

Step-by-step explanation:

Coordinates of V → (-8, -2)

Coordinates of V' → (2, -1)

Therefore, point V has been translated from x = -8 to x = 2,

Translation on x-axis → 2 - (-8) = 10 units

Translation on y-axis → -1 - (-2) = -1 + 2

                                                  = 1 unit

If the point V is translated 10 units right and 1 unit upwards,

Rule for the translation → (x + 10, y + 1)

Radius of the circle V = 2 units

Radius of the circle V' = 8 units

Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]

                    = [tex]\frac{\text{Radius of the image}}{\text{Radius of the original}}[/tex]

                    = [tex]\frac{8}{2}[/tex]

                    = 4

Therefore, circle V has been dilated by a scale factor of 4 to form circle V'.

Answer:

720 in³

Step-by-step explanation:

v = l * w * h

Break into two parts:

Bottom

v = 12 * 6 * 5

v = 360 in³

Top

v = 8 * 5 * 9

v = 360 in³

Total

v = 360 + 360

v = 720 in³

Answer:

[tex]\displaystyle y = \sqrt{2}e^{\frac{1}{2} ln|2 + x^2|}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Algebra II

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Differential Equations

Antiderivatives - Integrals

Integration Constant C

Integration Property [Multiplied Constant]:                                                             [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

U-Substitution

Logarithmic Integration

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y' = \frac{xy}{2 + x^2}[/tex]

[tex]\displaystyle y(0) = 2[/tex]

Step 2: Rewrite

Separation of Variables

Step 3: Find General Solution Pt. 1

Integration

Step 4: Identify Variables

Identify variables for u-substitution for 2nd integral.

u = 2 + x²

du = 2xdx

Step 5: Find General Solution Pt. 2

Our general solution is  [tex]\displaystyle |y| = Ce^{\frac{1}{2} ln|2 + x^2|}[/tex].

Step 6: Find Particular Solution

∴ Our particular solution is  [tex]\displaystyle y = \sqrt{2}e^{\frac{1}{2} ln|2 + x^2|}[/tex].

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Differential Equations

Book: College Calculus 10e

Answer:

{(7, 3), (8, 1), (9, 1), (10, 2)}

Step-by-step explanation:

Options are missing for this given problem, however, let's find the ordered pairs that should belong to the function shown by the mapping above:

We have the x-values (inputs) on our left while the corresponding y-values (outputs) are on our right.

The ordered pairs (x, y) are as follows:

{(7, 3), (8, 1), (9, 1), (10, 2)}

Answer:

Am = 5 * 6^(m-1)

Step-by-step explanation:

30/5 = 6

180/30 = 6

Am = 5 * 6^(m-1)